Atkin-Lehner |
2- 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446cp |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-598305959414856 = -1 · 23 · 33 · 78 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11+ 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9071824917,-332576141696919] |
[a1,a2,a3,a4,a6] |
j |
-14322649750648214913353194513/103786056 |
j-invariant |
L |
3.759085148527 |
L(r)(E,1)/r! |
Ω |
0.0077347431057382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446bt2 |
Quadratic twists by: -7 |